The generator matrix

 1  1  1  1  1  1  1  3  3  1  1  3
 0  3 24  0 21 24  0 21 24 21 24 21
 0  0  9  0  0  0  0 18 18  9  9  9
 0  0  0  9  0  0  9 18  0 18 18  9
 0  0  0  0 18  0 18 18 18 18  0 18
 0  0  0  0  0  9 18  0  9 18  9  9

generates a code of length 12 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+480x^18+486x^20+1296x^21+1458x^22+1944x^23+6966x^24+2916x^25+1944x^26+2168x^27+24x^36

The gray image is a code over GF(3) with n=108, k=9 and d=54.
This code was found by Heurico 1.16 in 0.175 seconds.